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Finding the Third Proportional to 159,171.75 and 345,476.81

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Solution

The third proportional to 159,171.75 and 345,476.81 is: 749,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,171.75 : 345,476.81 = 345,476.81 : x
  2. Step 2: Convert to fraction form
    159,171.75/345,476.81 = 345,476.81/x
  3. Step 3: Cross multiply
    159,171.75x = 345,476.81 × 345,476.81
  4. Step 4: Simplify right side
    159,171.75x = 119,354,227,975.16
  5. Step 5: Solve for x
    x = 119,354,227,975.16/159,171.75
  6. Step 6: Final answer
    x = 749,845.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.